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- W2014843633 abstract "We show that the Calderón--Lozanovskii; construction φ(.) commutes with arbitrary mixed norm spaces, that is, φ(E0[F0], E1[F1]) = φ(E0, E1) [φ(F0, F1)] if and only if φ is equivalent to a power function. This result we obtain by giving characterizations of the corresponding embeddings of φ(E0[F0], E1[F1]) into φ0 (E0, E1)[φ1 (F0, F1)] and vice versa in terms of the functions φ, φ0, φ1. As a particular case, we get embeddings of an Orlicz space with mixed norms into an Orlicz space on a product of measure spaces. Applications to classical operators between mixed norm Orlicz spaces are also discussed." @default.
- W2014843633 created "2016-06-24" @default.
- W2014843633 creator A5076634084 @default.
- W2014843633 date "2004-01-01" @default.
- W2014843633 modified "2023-10-12" @default.
- W2014843633 title "Calderón--Lozanovskii; construction for mixed norm spaces" @default.
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- W2014843633 doi "https://doi.org/10.1023/b:amhu.0000028829.15720.02" @default.
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